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Small gaps between the Piatetski-Shapiro primes

發(fā)布時(shí)間：2017-06-01 瀏覽：次

講座題目：Small gaps between the Piatetski-Shapiro primes

講座人:李紅澤 教授

講座時(shí)間：15:00

講座日期：2017-6-1

地點(diǎn)：長(zhǎng)安校區(qū) 文津樓數(shù)學(xué)與信息科學(xué)學(xué)院南學(xué)術(shù)交流廳

主辦單位：數(shù)學(xué)與信息科學(xué)學(xué)院

講座內(nèi)容：There are many progress in the small gaps between primes inrecent years, especially, Yitang Zhang proved that there are infinitely manycouples of primes with the difference no more than 70000000, J. Maynard provedthat the 70000000 can be replaced by 600. The best result is 246 due topolymath.

In this talk, I shall discuss the small gaps between thePiatetski-Shapiro primes which is a special kind of primes and forms a thin setof primes, and I shall show the following result for the small gaps between thePiatetski-Shapiro primes:Suppose that $1